Raising a Power to a Power

Question 1

Mario simplified the expression as shown. Which statement explains Mario’s error?

Revolt · Accepted Answer

He should also have applied the exponent –3 to 4 to get .

Question 2

Dahlia is simplifying using these steps:Although Dahlia is correct so far, which step could she have used instead to simplify the expression ?

Revolt · Accepted Answer

3 Superscript 4 Baseline t Superscript 4 Baseline = 81 t Superscript 4

Question 3

Pablo simplified the expression as shown. Which statement explains Pablo’s error?

Revolt · Accepted Answer

He should have found 8 as the exponent, not –8.

Question 4

The volume of a cube is cubic units. What is the length of one side of the cube?

Revolt · Accepted Answer

units

Question 5

Which expression can be simplified as ?

Revolt · Accepted Answer

(n Superscript negative 3) Superscript 6

Question 6

What is the value of b in the equation ?

Revolt · Accepted Answer

–6

Question 7

Which applies the power of a power rule to simplify the expression ?

Revolt · Accepted Answer

(8 Superscript 12 Baseline) cubed = 8 Superscript 12 times 3 Baseline = 8 Superscript 36

Question 8

Which applies the power of a product rule to simplify ?

Revolt · Accepted Answer

(5 t) cubed = 5 cubed t cubed = 125 t cubed

Question 9

The area of a square is square units. What is the side length of one side of the square?

Revolt · Accepted Answer

units

Question 10

What is the value of b in the equation ?

Revolt · Accepted Answer

–5

Raising a Power to a Power Answers